Find X Values Where f(x) Is Negative: Graph Analysis

Find all values of $x$

where $f\left(x\right) < 0$.

To determine where the function $f(x)$ is less than 0, observe the graphical representation:

• The roots are located at $x = -11$, $x = -6$, and $x = -1$. These are the x-values where the function intersects the x-axis.
• Considering the general behavior of quadratic functions, the function is negative between the outer roots unless it passes through below x-axis at multiple roots due to shape.

The given graph suggests the function dips below the x-axis between $x = -11$ and $x = -1$, passing through $x = -6$.

After analyzing the intervals:

• The interval to the left: $x < -11$
• The interval to the right: $x > -1$

Therefore, values of $x$ for which the function $f(x)$ is less than 0 are $x > -1$ or $x < -11$.

The correct choice is: $x > -1$ or $x < -11$